The answer to the title question is no, 100%.
I hate to break it to you, but a filter does not do anything to remove nitrogen from a tank, What it does is to act as a hotel for the bacteria and other microorganisms that do the actual work. A filter can also create some current and surface agitation. Surface agitation is needed for gas exchange. In nature wind and rain handle this chore.
A tank with a decently planted substrate has filtration being performed. It does not have to have a filter to do this. A planted substrate is a filter. The tank still needs other things. There is no such thing as a tank lasting any amount of time without humans doing anything for it. It will last no longer than it takes the water to evaporate.
In fact, a tank with substrate and no filter or plants can still have bacteria in the substrate. All it takes is ammonia, oxygen and a few other things typically found in water and it is a filter as we in the hobby think of them. Basically, all that is needed is water movement and some surface agitation.
Aptopos of nothing. The second best filtration, after a planted substrate, is a Hamburg mattenfilter using high quality rigid foam.